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Popular >

derivative of y=sqrt(x(x+1))

Solution

derivative of

y = x (x + 1)

Solution

\frac{2 x + 1}{2 x ( x + 1 )}

Solution steps

\frac{d}{d x} (x (x + 1))

Apply the chain rule:

\frac{1}{2 x ( x + 1 )} \frac{d}{d x} (x (x + 1))

= \frac{1}{2 x ( x + 1 )} \frac{d}{d x} (x (x + 1))

\frac{d}{d x} (x (x + 1)) = 2 x + 1

= \frac{1}{2 x ( x + 1 )} (2 x + 1)

Simplify

\frac{1}{2 x ( x + 1 )} (2 x + 1) : \frac{2 x + 1}{2 x ( x + 1 )}

= \frac{2 x + 1}{2 x ( x + 1 )}

Graph

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\int \frac{r ^{2}}{r + 4} d r

longdivision (x-1)/(x+2)long division

\frac{x - 1}{x + 2}

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\int \frac{x - 1}{4 x ^{2} - 8 x + 3} d x

(\partial)/(\partial x)(y/2 x^2)

\frac{\partial}{\partial x} (\frac{y}{2} x^{2})

Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(x(x+1)) ?
The derivative of y=sqrt(x(x+1)) is (2x+1)/(2sqrt(x(x+1)))
What is the first derivative of y=sqrt(x(x+1)) ?
The first derivative of y=sqrt(x(x+1)) is (2x+1)/(2sqrt(x(x+1)))